Question

what is the $y$-intercept of $y = 1 + 6x$?
choose 1 answer:
a $(6, 0)$
b $(1, 0)$
c $(0, 6)$
d $(0, 1)$

Explanation:

Step1: Recall y-intercept definition

The y-intercept of a line is the point where \( x = 0 \) (since it's where the line crosses the y-axis).

Step2: Substitute \( x = 0 \) into the equation

Given the equation \( y = 1 + 6x \), substitute \( x = 0 \):
\( y = 1 + 6(0) \)
\( y = 1 + 0 \)
\( y = 1 \)
So the point is \( (0, 1) \).

Answer:

D. \( (0, 1) \)